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Aureonics: Constitutional Triadic Framework for Stable Adaptive Intelligence

Emmanuel King · Independent Research · 2025

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Abstract

We present Aureonics, a constitutional triadic framework for stable adaptive intelligence. The framework models AI system health as a probability simplex over three irreducible invariants: Continuity (C), Reciprocity (R), and Sovereignty (S), constrained such that C+R+S=1. The stability margin M=min(C,R,S) provides a scalar measure of constitutional health. We introduce the Dynamic CRS Governor — a Control Barrier Function-based control system that detects constitutional drift before failure and applies mass-conserving corrections to restore stability. The framework is operationalized into a five-agent PRAXIS pipeline with cryptographic audit receipts, Lyapunov stability certificates, and real-time constitutional monitoring. We demonstrate that the system is mathematically bounded, falsifiable, and deployable as a governance layer for production language models.

Mathematical Framework
C + R + S = 1

Constitutional simplex constraint — state always normalized on probability simplex

M = min(C, R, S)

Stability margin — system is only as stable as its weakest invariant

M < τ = 0.08

Hard collapse threshold — CBF governor fires and applies correction

ḣ(x) + α·h(x) ≥ 0

Control Barrier Function constraint — always enforced during projection

‖dx/dt‖ > δ

Velocity trigger — detects rapid constitutional drift before collapse

V(x) = ‖x - x*‖²

Lyapunov candidate — stability certificate, δV < 0 guarantees convergence

Cite This Work
@article{king2025aureonics,
  title   = {Aureonics: Constitutional Triadic Framework 
             for Stable Adaptive Intelligence},
  author  = {King, Emmanuel},
  year    = {2025},
  doi     = {10.5281/zenodo.18944243},
  url     = {https://doi.org/10.5281/zenodo.18944243},
  note    = {Independent Research, Lagos, Nigeria}
}